Finite Group Databasebeta

#454×Dic43 #25102494

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#454×Dic43

Splittings

SylowC43 ⋊ C4×#454

Subgroups

subgroupG/H
centerC22#120×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
Fitting, prime radicalC2×C43×#454C2
socleC22×C43C2×#120
cosocleC22×C4×C43C24
hypercenterC2×#454D43
hypocenterC43C4×#454
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#454

1390 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 175465);